Claim: ₁ ₂ α=0.01. Assume o #02 Sample statistics: X₁ =2414, S₁ = 178, n₁ = 13 and X₂ = 2300, S₂ = 53, n₂ = 9
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- Lan says that students’ favorite restaurants in Conway are not equally distributed between ZaZa’s, Umami, Mike’s Place, Brick and Forge, and The Pasta Grill. Nynaeve tests this claim by asking 40 students what their favorite restaurant is. Her survey results are 12 for ZaZa, 6 for Umami, 3 for Mike’s Place, 8 for Brick and Forge, and 11 for The Pasta Grill. Test the validity of Lan’s claim with a significance level of α = 0.05. [Hint: You are testing whether your data is a good fit against the presumption that all are equal.]A marketing manager must decide on the size of the survey sample to be used in order to estimate the proportion of customers who are aware of her brand. She wishes to estimate this proportion to within 7 percentage points with 95% confidence. If the manager guesses that the proportion of aware customers is roughly 21%, what is the size of the sample that must be used? 131 ? CIlowerbound .2659 CIupperbound .314 Assume that 4700 customers were sampled, and that the sample proportion of aware customers was found to be 29%. Construct a 95% confidence interval for the population proportion of aware customers. X 0% ? × 0% ? X 0%11. In professional tennis for 2017 men challenged 2100 calls and 1105 of them were changed. While women challenged 1309 calls and 625 of them were changed. Conduct a hypothesis test to test the claim that men get more calls changed than women. Use a significance level of 0.05.
- 10. Suppose we sample 300 UNI students and find the 27 regularly wear a watch. Find a 98% confidence interval for p, the percentage of all UNI students who regularly wear a watch.Q3 i): A survey of 500 randomly chosenindividualsis conducted. The individuals are askedto nametheir faxorite sport. The STATISTIX pie chart inthe following figure summarizesthe results of this survey Other (5.0%)- Hockey (10.0%)- -Baseball (30.0%) Golf (10.0%)- Footbal (25.0%)- -Basketbal (20.0%) Fig. 2-11 STATISTIX pie chart La) How many individuals inthe 500 gave baseball astheirfavorite sport? (b) How mary gave a sport other than basketball as their favorite sport? L) How many gave hockey or golf astheir favorite sport? ii) Thefollowing table gives the frequency distribution for the cholesterol values of 45 patients ina cardiacrehabilitation study. Givethe IgweLandupper class limits and boundaries as well asthe class marks for each class Chalastarol vala Fraquancy 170 to 189 190 to 209 10 210 to 229 17 230 to 249 13 250 to 269Perform a hypothesis test for a population mean and for a population proportion A group of psychologists commented that less than 57% of them help children to enjoy reading to improve their intelligence. An investigation was conducted to find out if this is true in a certain school zone. 210 psychologists were randomly chosen and interviewed to detect whether, by developing their work in psychology, they help children to enjoy reading to improve their intelligence; It was found that 105 psychologists do help children. Perform the hypothesis test with alpha of 10%.
- A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.Describe a study in which you can use both nonparametric and parametric statistics. A researcher has participants expecting to receive either painful or mild electrical shocks during a study wait in a quarter-full waiting room with other participants. He then measures whether they choose to sit next to other participants or if they sit far away on their own. What is the best test to run for this study and why?I believe that the population mean number of times that adults go for a walk each week is less than 2.0. I spoke with 8 adults and found that they went on walks 3,5,2,1,0,4,0 and 5 times last week. Test this hypothesis at the 0.5 significance level.
- A graduate Statistic Student wants to estimate the true proportion of county college ("c.c.") students in here state who go on to receive an Associate Degree (AD ), She is able to take a random sample of n = 100 of those c.c. stuents, and 64 of those students received an AD. Find her 90% confidence interval for the true proportion of c.c. students in her state that receive an AD. Be sure to either i)Use full calculator syntax including proper label on your output or i)write down the formula, plug in the appropriate nun bers, and then give the calculated interval including a proper label. 1-prop-Z Int x: 64,n: 100, Clevel.90, interval (.56105,.71895 b. 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.66105,.71896 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.51105,.70950 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.61105,.81105 by C.The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"In 2011, a U.S. Census report determined that 56% of college students are working students. A researcher thinks this percentage has changed and surveys 162 college students. The researcher reports that 88 of the 162 are working students. Is there evidence to support the researcher's claim at the 1% significance level? Determine the null and alternative hypotheses.H0: p=H1: p ? > ≠ < (Select the correct symbol and enter the value.) Determine the test statistic. Round to two decimal places.z= Find the p-value. Round to four decimal places.p-value = Are the results statistically significant? Fail to reject the null hypothesis. Reject the null hypothesis. Write the conclusion. There is not sufficient evidence to support the claim that the percentage of working college students has changed. There is sufficient evidence to support the claim that the percentage of working college students has changed.